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Finding the Third Proportional to 35,078.06 and 77,538.94

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Solution

The third proportional to 35,078.06 and 77,538.94 is: 171,397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,078.06 : 77,538.94 = 77,538.94 : x
  2. Step 2: Convert to fraction form
    35,078.06/77,538.94 = 77,538.94/x
  3. Step 3: Cross multiply
    35,078.06x = 77,538.94 × 77,538.94
  4. Step 4: Simplify right side
    35,078.06x = 6,012,286,828.63
  5. Step 5: Solve for x
    x = 6,012,286,828.63/35,078.06
  6. Step 6: Final answer
    x = 171,397.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.